**MATH 141 -
PRECALCULUS**

**(FALL 2023)**

Email me (I
encourage corrections!). HOME

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I don’t do
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**Notes on using the Canvas site: **

*ALEKS Extra Credit*

(This review can especially help with the very
difficult Chapter 0.)

**YOU
CAN PAY FOR AN ALEKS LICENSE. **

**I
CAN SEND YOU A CLASS CODE. **Email
me

**GETTING
STARTED:**

ALEKS: Getting Started
(.pdf)

Orientation
Quick Tips (.pdf)

Orientation PowerPoint
(.ppt)

*Printing Suggestions for Typed Files*

I recommend two-page-to-a-side and/or double-sided printing to
save paper. Color printing is nice, but B&W printing is cheaper.

These
are pdf files. You can get the free Adobe Reader at http://www.adobe.com. Get a version that is
compatible with your system!

*Syllabus (Fall 2023): *

*Homework Assignments*

#1-A:
HW Answers (Ch.0 in my notes) (90 points)

#1-B:
HW Answers (Ch.1) (60 points)

#2:
HW Answers (Chs.2 and 3) (150 points)

#3:
HW Answers (Ch.4) (150 points)

#4:
HW Answers (Chs.5 and 6) (150 points)

#5:
HW Answers (Chs.7-10) (250 points)

PolarGraphPaper (Ch.10;
created using *Mathematica* with *Microsoft Word*)

*Class Notes*

Many
students benefit from **printing the notes** for a lecture beforehand, **reviewing**
them, and **commenting** on them in class.

You
may want to take personalized sketch notes in class.

Creative Commons License: For attribution,
simply mention my name and/or web URL somewhere if you are using huge chunks of
the notes. I simply want due credit.

**NOTES FOR QUIZZES 1A AND 1B**

Notes for Quiz 1A and
Quiz 1B (last revised 1/27/13)

Chapter
0: Preliminary Topics: (last revised 1/27/13)

**NEW!! QUADRATIC FORMULA SONG! (SECTION 0.11): **

** **https://www.youtube.com/watch?v=IfpkQVyqK7c

Chapter
1: Functions

**CORRECTION to 1.2.3! **In the middle of page 1.2.3, -9 (instead of 9)
is not in the domain of *f*.

**MATH DANCES FOR GRAPHING!**

http://9gag.com/gag/4419992/do-the-math-dance

(correction: x^2 + y^2 = r^2)

http://www.seyedrezabazyar.com/fa/math-dances/

https://www.reddit.com/r/geek/comments/444shr/dancing_mathematician/

(see the dance!)

**(The
following notes will be revised for later semesters. Section and page
references may be inconsistent with the new Chapters 0 and 1. Please **Email me **with comments/suggestions.)**

**NOTES FOR MIDTERM 2**

Chapter
2: Polynomial and Rational Functions

Chapter
3: Exponential and Logarithmic Functions

**CARD SHARKS AND (NEARLY) EXPONENTIAL GROWTH: **https://www.youtube.com/watch?v=Fb7mN5MObLE&list=PL5K97sZrlm86aVXIGEMqPhdDcGCyRFk5j&index=2&t=7s

**NOTES FOR MIDTERM 3**

Chapter
4: Trigonometry

**Basic
Trig IDs (handout in class): **Basic Trig IDs (revised from 5.1 notes: 3/8/18)

**VISUALIZING THE SIX BASIC TRIG FUNCTIONS: **

http://www.kkuniyuk.com/TrigSixParts.pdf
(revised 2/11/06)

**NOTES FOR MIDTERM 4**

Chapter
5: Analytic Trigonometry

**More
Trig IDs (handout in class): **Handout.

Chapter
6: Additional Topics in Trigonometry

**KHAN ACADEMY ON EULER FORMULA. (Do you have emotion?)**

https://www.youtube.com/watch?v=mgNtPOgFje0

**NOTES FOR FINAL**

Chapter
7: Systems of Equations and Inequalities

Chapter
8: Matrices and Determinants

Chapter
9: Discrete Math

**SECTION 9.4: KHAN ACADEMY ON INDUCTION: **https://www.khanacademy.org/math/algebra-home/alg-series-and-induction/alg-induction/v/proof-by-induction

**SECTION 9.5: VIDEOS AND PASCAL’S TRIANGLE MAGIC: CLICK ON **Notes for Final

Chapter
10: Conics and Polar Coordinates [as time permits] (Ch.10 is partly
handwritten.)

**ANIMATION ON CONICS:**

https://www.youtube.com/watch?v=HO2zAU3Eppo

Corrections: (0:48-1:07) The
double-nappe cone (or simply cone here should not be thought of as finite, so
there are no bases nd there is no base perimeter. The term directrix is used elsewhere,
especially when describing parabolas.

In
previous semesters, the final was cumulative. For your information, here was
the outline provided: Math141OldFinalOutline.pdf

*Old Exams and Solutions (Spring 2023)*

Quiz 1A Solutions (1 hour and
15 minutes)

Chapter
0: Preliminary Topics

Quiz 1B Solutions (50 minutes)

Chapter
1: Functions

Midterm #2 Solutions (1 hour for
Part 1; 1 hour and 10 minutes for Part 2)

Chapter
2: Polynomial and Rational Functions

Chapter
3: Exponential and Logarithmic Functions

Midterm #3 Solutions (40 minutes
for Part 1; 1 hour and 30 minutes for Part 2); see below

Chapter
4: Trigonometry

Midterm #4 Solutions (50 minutes
for Part 1; 1 hour and 20 minutes for Part 2)

Chapter
5: Analytic Trigonometry

Chapter
6: Additional Topics in Trigonometry

Final Solutions (2 hours
and 20 minutes). Material covered in later terms may differ.

Chapter
7: Systems of Equations [and Inequalities]
(Sections 7.5, 7.6 not on Final.)

Chapter
8: Matrices and Determinants (Sections
8.3, 8.5 not on Final.)

Chapter
9: Discrete Math

Chapter
10: Conics and Polar Coordinates

*Current Exams and Solutions (Fall 2023)*

Quiz 1A Solutions (1 hour and
15 minutes)

Chapter
0: Preliminary Topics

Quiz 1B Solutions (50 minutes)

Chapter
1: Functions

Midterm #2 Solutions (1 hour for
Part 1; 1 hour and 10 minutes for Part 2)

Chapter
2: Polynomial and Rational Functions

Chapter
3: Exponential and Logarithmic Functions

Midterm #3 Solutions (40 minutes
for Part 1; 1 hour and 30 minutes for Part 2); see below

Chapter
4: Trigonometry

Midterm #4 Solutions (50 minutes
for Part 1; 1 hour and 20 minutes for Part 2)

Chapter
5: Analytic Trigonometry

Chapter
6: Additional Topics in Trigonometry

•
Exams and solutions will be posted around the time they are graded.

*Class Resources*

**TEST-TAKING TIPS; REDUCING TEST ANXIETY:**** **Test.html Test.pdf
(pdf file)

**FREE ONLINE BOOK (OPENSTAX PRECALCULUS):**** **https://openstax.org/details/precalculus

**FREE ONLINE BOOK (PRECALCULUS DEMYSTIFIED): **http://libraryproxy.sdmesa.edu/login?url=http://search.ebscohost.com/login.aspx?direct=true&db=nlebk&AN=138326&site=ehost-live

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